An empty rectanglar tank is 250cm long and 120cm wide. If 180 litres of water is poured into the tank, calculate the height of the water
The diagram is a net right rectangular pyramid. Calculate the total surface area.
What is the lenggh of a rectanglar garden whose perimeter is 32cm and area 39cm²?
A casting is made up of Copper and Zinc. If 65% of the casting is Zinc and there are 147g of copper, what is the mass of the casting?
A rectangle has length xcm and width(x-1)cm. If the perimeter is 16cm, find the value of x.
In the diagram shows a rectanglar cardboard from which a semi-circle is cut off. Calculate the area of the remaining part.
How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a disatnce of 1000m
The diameter of a bicycle wheel is 42cm. If the wheel makes 16 complete revolution, what will be the total distance covered by the wheel? [Take π = 22/7]
Calculate, correct to the nearest cm², the area of the trapeziium.
The capacity of a water tank is 1,800 litres. if the tank is in form of a cuboid with base 600 cm by 150 cm, find the height of the tank.
An arc of a circle subtends and angle of 60° at the centre. if the radius of the circle is 3 cm, find, in terms of π, the length of the arc.
A bucket holds 10 litres of water. How many buckets of water will fill a reservoir of the 8m x 7m x 5m. (1 litre = 1000cm³)
If the volume of a cube is 343cm³, find the length of its side.
In the diagram, PQRS is a rhombus. /PR/ = 10cm and /QS/ = 24cm. Calculate the perimeter of the rhombus.
What is the length of an edge of a cube whose total surface area is X cm² and whose volume is X/2 cm³?
If the perimeter of ΔPQR in the diagram is 24cm, what is the area of ΔPRS?
<PQR is a sector of a circle centre O, radius 4cm. If <PQR = 30° find, correct to 3 significant figures, the area of sector <POR. [Take π 22/7]
A chord of length 6cm is drawn in a circle of radius 5cm. Find the distance of the chord from the centre of the circle.
A sector of a circle of radius 14cm containing an angle 60° is folded to form a cone. Calculate the radius of the base of the cone.
Find the volume of a solid cylinder with base radius 10cm and height 14cm (Take π = 22/7)
PQR is an equilateral triangle with side 2√3 cm. Calculate its height.
Two circles have radii 16cm and 23cm. What is the difference between their circumferences? (Take π = 22/7)
The volume of a cylinder is 1200cm³ and the area of its base is 150cm². Find the height of the cylinder.
In the diagram, O is the centre of the circle and PQ is a diameter. Triangle RSO is an equilateral triangle of side 4cm. Find the area of the shaded region
A baker used 40% of a 50kg bag of flour. If 1/8 of the amount used was for the cake, how many kilograms of flour was used for cake?
in the diagram, PQUV, PQTU, QRST are parallelograms. |UV| = 4.8cm and perpendicular distance between PR and VS is 5cm. Calculate the area of quadrilateral PRSV
A conical water-jug is 7cm in diagram and 6cm deep. Find thne volume of water it can hold. [Take π = 22/7]
In the diagram, the two circles have a common centre O. if the area of the larger circle is 100π and that of the smaller circle is 49π, find x.
The wheel of a tractor has a diameter 1.4m. What distance does it cover in 100 complete revolutions? [Take π = 22/7]
A rectangles carpet 2.5m long and 2.4m wide covers 5% of a rectanglar floor. Calculate the area of the floor.
The lenths of the adjacent sides of a right-angled triangle are xcm. If the length of the hypotenuse is √13cm, find the value of x.
What is the diameter of a circle of area 77cm²? (Take π = 22/7)
What is the total surface area of a closed cylinder of height 10cm and diameter 7cm? (Take π= 22/7)
An arc of a cicle odf radius 14cm subtends angle 300 at the centre. Find the perimeter of the sector formed by the arc (Take π = 22/7)
The total surface area of the walls of a room, 7m long, 5m wide and xm high is 96m2 . Find the value of x.
A rectanglear packet has inner dimension 16cm by 12cm by 6cm. How many cubes of suger of side 2cm can be neatly packed into the packet?
XOY is a sector of a circle O of radius 3.5cm which subtends an angle of 114° at the centre. Calculate, in terms of π, the area of the sector.
Find the area of a rectangle of length 4 cm and whose diagonal is 8cm. (Leave your answer in surd form)
Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm
What is the volume of a solid cylinder of diameter 7cm and height 7cm? (Take π = 22/7)
The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes?
A pyramid of volume 120cm³ has a rectanguar base which measures 5cm by 6cm. Calculate the height of the pyramid
In the diagram /PS/ = 9cm, /QR/ 5cm, <PSR = 63° and <SPQ = PQR = 90°. Find correct to the nearest whole number, the area of the trapezium.
A right circular cone is such that its radius r is twice its height h. Find its volume in terms of h.
The lengths of the parallel sides of a trapezium are 9 cm and 12 cm. If the area of the trapezium is 105 cm², find the perpendicular distance between the parallel sides.
The base diameter of a cone is 14cm, and its volume is 462cm². Find its height [Take π = 22/7]
In the diagram O and OI are the centres of the circles radius 15cm and 8cm respectively. if PQ = 12cm, find OOI
The volume of a cylinder of radius 14cm is 210cm³. What is the curved surface area of the cylinder?
In the diagram, QRT is a straight line. If angle PTR = 90°, angle PRT = 60°, angle PQR = 30° and |PQ| = 6√3cm, calculate |RT|
To arrive on schedule, a train is to cover a distance of 60km at 72km/hr. If it strats 10 minute late, at what speed must it move to arrive on schedule?
A right pyramid is on a square base of side 4cm. The slanting side of the pyramid is 2√3cm. Calculate the volume of the pyramid
A height of a right circular cone is 4cm. The radius of its base is 3cm. Find its curved surface area.
A chord of length 30cm is 8cm away from the center of the circle. What is the radius of the circle.
A sector of a circle radius 14cm subtends an angle of 135° at the centre of the circle. What is the perimeter of the sector? (Take π = 22/7)
In the diagram, MN//PQ, /LM/ = 3cm and /LP/ = 4cm. If the area of ΔLMN is 18cm², Find the area of quadrilateral MPQN. The diagram show a trianglar prism of langth 7cm. the right-angleded triangle PQR is a cross-section of the prism. /PR/ = 5cm and /RQ/ = 3cm
What is the area of the cross-section?
What is the volume of the prism?
A solid cylinder of radius 7cm is 10cm long. Find its total surface area.
PQRS is a trapezium in which /PS/ = 9cm, /QR/ = 15cm, /PQ/ = 2√3, <PQR = 90° and <QRS = 30°. Calculate the area of the trapezium.
A bivycle wheel of radius 42cm is rolled over a distance of 66 metres. How many revolutions does it makes? [Take π = 22/7]